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    Re: Sun sights during an eclipse: "bad limb" calculation
    From: Chuck Varney
    Date: 2023 Oct 18, 21:11 -0700

    Kermit,

    As you covered earlier, I posted these first and last contact times using JPL Horizons data:

    No refraction selected
    15:36:11.5 UT  - first contact
    18:51:08.5 UT  - last contact

    With refraction selected
    15:36:08.0 UT  - first contact
    18:51:10.5 UT  - last contact

    These are shown in the yellow highlighted lines in the attachment.

    In an attempt to remove from the ‘No refraction’ case the effect of contraction of body angular dimension due to refraction that Horizons apparently uses for both the refracted and non-refracted cases, I added small angles to the sum of the Sun and Moon semidiameters.

    I found by experiment that the ‘No refraction’ first and last contact times could be made equal to those of the ‘With refraction’ case by adding as little as 1.12” to the sum of the Sun and Moon semidiameters for the 15:36:xx time block entries and 0.57” to the sum of Sun and Moon semidiameters for 18:51:xx time block entries. The green highlighted areas in the attachment relate to these changes.

    I also experimented with adding the same angle to both time blocks. Several examples follow.

    Added angle = 1.12”
    15:36:08.0 UT  - first contact
    18:51:12.0 UT  - last contact

    Added angle = 1.2”
    15:36:08.0 UT  - first contact
    18:51:12.5 UT  - last contact

    Added angle = 1.0”
    15:36:08.5 UT  - first contact
    18:51:11.5 UT  - last contact

    Bear in mind that these results were obtained using JPL Horizons’ minimum time increment of 0.5 second.

    Chuck V.

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